### Abstract

We address several concerns related to the derivation of drift-ordered fluid equations. Starting from a fully Galilean invariant fluid system, we show how consistent sets of perturbative drift-fluid equations in the case of an isothermal collisionless fluid can be obtained. Treating all the dynamical fields on equal footing in the singular-drift expansion, we show under what conditions a set of perturbative equations can have a non-trivial quasi-neutral limit. We give a suitable perturbative setup where we provide the full set of perturbative equations for obtaining the first-order corrected fields and show that all the constants of motion are preserved at each order. With the dynamical field variables under perturbative control, we subsequently provide a quantitative analysis by means of numerical simulations. With direct access to firstorder corrections, the convergence properties are addressed for different regimes of parameter space and the validity of the first-order approximation is discussed in the three settings: cold ions, hot ions, and finite charge density.

Original language | English |
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Article number | 032304 |

Journal | Physics of Plasmas |

Volume | 26 |

Issue number | 3 |

Number of pages | 15 |

ISSN | 1070-664X |

DOIs | |

Publication status | Published - 2019 |

## Cite this

Gath, J., & Wiesenberger, M. (2019). Consistency in drift-ordered fluid equations.

*Physics of Plasmas*,*26*(3), [032304]. https://doi.org/10.1063/1.5081777